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Finding the Fourth Proportional to 5,194.26, 7,826.07 and 4,701.30

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Solution

The fourth proportional to 5,194.26, 7,826.07 and 4,701.30 is: 7,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.26 : 7,826.07 = 4,701.30 : x
  2. Step 2: Convert to fraction form
    5,194.26/7,826.07 = 4,701.30/x
  3. Step 3: Cross multiply
    5,194.26x = 7,826.07 × 4,701.30
  4. Step 4: Simplify right side
    5,194.26x = 36,792,702.89
  5. Step 5: Solve for x
    x = 36,792,702.89/5,194.26
  6. Step 6: Final answer
    x = 7,083.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.